We have \(h(\rho )\!>\!0\)  on an open interval \((R_0,R_1)\)  if and only if \(T(a_1,a_2):=\alpha _1a_1^{4-p}+\alpha _2a_2^{4-p}\!<\!\gamma _1\) . It follows from Lemma 5.2 of [1]} that
\((p-2)2^{3-p}<1\Leftrightarrow \gamma _1<\gamma _0.\) 
